Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 109 | 96 | 86 | 233 | 0 | 98 | 99 |
N.S. |
1 | 1.00 | 1.40 | 1.23 | 1.10 | 2.99 | 0.00 | 1.26 | 1.27 |
time (sec) |
N/A | 0.283 | 0.305 | 1.312 | 0.370 | 0.317 | 0.000 | 0.294 | 0.113 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 114 | 79 | 96 | 114 | 312 | 0 | 131 | 1804 |
N.S. |
1 | 1.31 | 0.91 | 1.10 | 1.31 | 3.59 | 0.00 | 1.51 | 20.74 |
time (sec) |
N/A | 0.343 | 0.234 | 0.970 | 0.344 | 0.324 | 0.000 | 0.297 | 14.525 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 84 | 54 | 52 | 159 | 0 | 58 | 65 |
N.S. |
1 | 1.00 | 1.56 | 1.00 | 0.96 | 2.94 | 0.00 | 1.07 | 1.20 |
time (sec) |
N/A | 0.259 | 0.200 | 0.797 | 0.369 | 0.319 | 0.000 | 0.292 | 0.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 74 | 55 | 63 | 64 | 239 | 0 | 92 | 119 |
N.S. |
1 | 1.25 | 0.93 | 1.07 | 1.08 | 4.05 | 0.00 | 1.56 | 2.02 |
time (sec) |
N/A | 0.278 | 0.188 | 0.720 | 0.354 | 0.335 | 0.000 | 0.292 | 13.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 31 | 30 | 101 | 0 | 30 | 28 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.83 | 2.81 | 0.00 | 0.83 | 0.78 |
time (sec) |
N/A | 0.225 | 0.026 | 0.640 | 0.364 | 0.317 | 0.000 | 0.304 | 0.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 41 | 39 | 38 | 35 | 206 | 0 | 62 | 272 |
N.S. |
1 | 1.05 | 1.00 | 0.97 | 0.90 | 5.28 | 0.00 | 1.59 | 6.97 |
time (sec) |
N/A | 0.236 | 0.087 | 0.354 | 0.356 | 0.289 | 0.000 | 0.312 | 14.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 17 | 16 | 78 | 66 | 16 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.68 | 0.64 | 3.12 | 2.64 | 0.64 | 0.68 |
time (sec) |
N/A | 0.199 | 0.009 | 0.366 | 0.377 | 0.293 | 0.372 | 0.306 | 14.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 96 | 55 | 47 | 116 | 0 | 49 | 856 |
N.S. |
1 | 1.00 | 2.40 | 1.38 | 1.18 | 2.90 | 0.00 | 1.22 | 21.40 |
time (sec) |
N/A | 0.223 | 0.150 | 0.459 | 0.362 | 0.334 | 0.000 | 0.304 | 15.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 38 | 37 | 255 | 0 | 45 | 39 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.95 | 6.54 | 0.00 | 1.15 | 1.00 |
time (sec) |
N/A | 0.229 | 0.128 | 0.604 | 0.366 | 0.318 | 0.000 | 0.289 | 14.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 77 | 147 | 96 | 104 | 203 | 0 | 102 | 1139 |
N.S. |
1 | 1.26 | 2.41 | 1.57 | 1.70 | 3.33 | 0.00 | 1.67 | 18.67 |
time (sec) |
N/A | 0.267 | 0.348 | 0.784 | 0.341 | 0.335 | 0.000 | 0.287 | 13.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 59 | 62 | 72 | 343 | 0 | 134 | 77 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.22 | 5.81 | 0.00 | 2.27 | 1.31 |
time (sec) |
N/A | 0.276 | 0.257 | 0.859 | 0.362 | 0.320 | 0.000 | 0.298 | 14.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 125 | 214 | 154 | 199 | 327 | 0 | 177 | 832 |
N.S. |
1 | 1.34 | 2.30 | 1.66 | 2.14 | 3.52 | 0.00 | 1.90 | 8.95 |
time (sec) |
N/A | 0.318 | 1.325 | 1.159 | 0.326 | 0.396 | 0.000 | 0.294 | 17.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 90 | 109 | 126 | 459 | 0 | 254 | 121 |
N.S. |
1 | 1.00 | 1.03 | 1.25 | 1.45 | 5.28 | 0.00 | 2.92 | 1.39 |
time (sec) |
N/A | 0.306 | 0.435 | 1.355 | 0.352 | 0.330 | 0.000 | 0.297 | 14.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 131 | 90 | 100 | 150 | 491 | 0 | 175 | 463 |
N.S. |
1 | 1.16 | 0.80 | 0.88 | 1.33 | 4.35 | 0.00 | 1.55 | 4.10 |
time (sec) |
N/A | 0.364 | 0.353 | 1.139 | 0.383 | 0.344 | 0.000 | 0.301 | 14.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 118 | 77 | 79 | 296 | 0 | 82 | 96 |
N.S. |
1 | 1.00 | 1.64 | 1.07 | 1.10 | 4.11 | 0.00 | 1.14 | 1.33 |
time (sec) |
N/A | 0.285 | 0.374 | 0.977 | 0.398 | 0.323 | 0.000 | 0.286 | 14.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 87 | 79 | 75 | 80 | 367 | 0 | 109 | 533 |
N.S. |
1 | 1.16 | 1.05 | 1.00 | 1.07 | 4.89 | 0.00 | 1.45 | 7.11 |
time (sec) |
N/A | 0.286 | 0.374 | 0.735 | 0.518 | 0.335 | 0.000 | 0.297 | 14.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 59 | 53 | 53 | 206 | 0 | 56 | 47 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.90 | 3.49 | 0.00 | 0.95 | 0.80 |
time (sec) |
N/A | 0.239 | 0.208 | 0.594 | 0.425 | 0.313 | 0.000 | 0.293 | 14.578 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 59 | 51 | 49 | 313 | 0 | 77 | 50 |
N.S. |
1 | 1.00 | 1.09 | 0.94 | 0.91 | 5.80 | 0.00 | 1.43 | 0.93 |
time (sec) |
N/A | 0.233 | 0.184 | 0.493 | 0.388 | 0.342 | 0.000 | 0.307 | 13.866 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 48 | 39 | 38 | 165 | 289 | 38 | 36 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.79 | 3.44 | 6.02 | 0.79 | 0.75 |
time (sec) |
N/A | 0.212 | 0.042 | 0.430 | 0.407 | 0.301 | 3.259 | 0.304 | 13.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 86 | 130 | 79 | 115 | 354 | 0 | 109 | 2213 |
N.S. |
1 | 1.18 | 1.78 | 1.08 | 1.58 | 4.85 | 0.00 | 1.49 | 30.32 |
time (sec) |
N/A | 0.277 | 0.558 | 0.837 | 0.383 | 0.351 | 0.000 | 0.299 | 14.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 76 | 81 | 119 | 505 | 0 | 113 | 123 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.57 | 6.64 | 0.00 | 1.49 | 1.62 |
time (sec) |
N/A | 0.303 | 0.554 | 1.035 | 0.468 | 0.319 | 0.000 | 0.315 | 13.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 130 | 183 | 119 | 220 | 560 | 0 | 194 | 2009 |
N.S. |
1 | 1.19 | 1.68 | 1.09 | 2.02 | 5.14 | 0.00 | 1.78 | 18.43 |
time (sec) |
N/A | 0.338 | 1.005 | 1.485 | 0.480 | 0.409 | 0.000 | 0.299 | 14.644 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 97 | 110 | 170 | 653 | 0 | 270 | 176 |
N.S. |
1 | 1.00 | 1.01 | 1.15 | 1.77 | 6.80 | 0.00 | 2.81 | 1.83 |
time (sec) |
N/A | 0.323 | 0.976 | 1.646 | 0.405 | 0.340 | 0.000 | 0.313 | 14.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 112 | 125 | 146 | 119 | 511 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.07 | 1.25 | 1.02 | 4.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 0.470 | 0.579 | 0.279 | 0.593 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 70 | 96 | 60 | 46 | 453 | 0 | 0 | 61 |
N.S. |
1 | 0.97 | 1.33 | 0.83 | 0.64 | 6.29 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.241 | 0.257 | 0.319 | 0.350 | 0.370 | 0.000 | 0.000 | 13.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 80 | 129 | 150 | 126 | 1246 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.57 | 1.83 | 1.54 | 15.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.285 | 0.287 | 1.116 | 0.435 | 0.517 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 88 | 164 | 290 | 0 | 337 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 2.00 | 3.54 | 0.00 | 4.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.274 | 2.234 | 1.344 | 0.000 | 0.333 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 150 | 669 | 570 | 0 | 443 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 4.68 | 3.99 | 0.00 | 3.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 14.156 | 1.590 | 0.000 | 0.551 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 260 | 199 | 432 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 0.90 | 1.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.454 | 1.790 | 3.780 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 186 | 158 | 265 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.99 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 1.121 | 3.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 61 | 71 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 0.066 | 1.385 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 174 | 134 | 222 | 0 | 640 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 1.02 | 1.69 | 0.00 | 4.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 0.803 | 2.665 | 0.000 | 0.135 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 244 | 187 | 368 | 0 | 789 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 0.95 | 1.88 | 0.00 | 4.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 2.193 | 3.694 | 0.000 | 0.160 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 144 | 149 | 215 | 174 | 577 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.95 | 1.37 | 1.11 | 3.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 0.879 | 0.497 | 0.417 | 1.378 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 102 | 93 | 90 | 73 | 503 | 0 | 0 | 60 |
N.S. |
1 | 0.98 | 0.89 | 0.87 | 0.70 | 4.84 | 0.00 | 0.00 | 0.58 |
time (sec) |
N/A | 0.252 | 0.514 | 0.354 | 0.333 | 0.510 | 0.000 | 0.000 | 14.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 120 | 233 | 269 | 168 | 1381 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.93 | 2.22 | 1.39 | 11.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 0.720 | 1.311 | 0.391 | 0.692 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 133 | 210 | 402 | 0 | 1471 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.65 | 3.17 | 0.00 | 11.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.341 | 0.962 | 1.485 | 0.000 | 0.713 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 134 | 63 | 406 | 0 | 413 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.52 | 3.33 | 0.00 | 3.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.300 | 0.121 | 1.389 | 0.000 | 0.673 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 196 | 938 | 693 | 0 | 545 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 4.81 | 3.55 | 0.00 | 2.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.347 | 14.936 | 2.079 | 0.000 | 2.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 331 | 247 | 590 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.77 | 1.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.543 | 3.143 | 4.569 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 259 | 256 | 200 | 429 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.77 | 1.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 1.668 | 5.092 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 155 | 156 | 266 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.01 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.812 | 0.835 | 2.399 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 185 | 144 | 365 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.79 | 2.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.390 | 1.615 | 3.867 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 253 | 190 | 375 | 0 | 784 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.81 | 1.59 | 0.00 | 3.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.466 | 2.370 | 3.726 | 0.000 | 0.192 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 77 | 79 | 93 | 69 | 461 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.00 | 1.18 | 0.87 | 5.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 0.106 | 0.444 | 0.246 | 0.394 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 34 | 21 | 394 | 0 | 0 | 33 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.55 | 10.37 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.229 | 0.017 | 0.314 | 0.248 | 0.364 | 0.000 | 0.000 | 13.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 105 | 105 | 240 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.50 | 2.50 | 5.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 0.036 | 1.059 | 0.354 | 0.357 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 97 | 408 | 360 | 0 | 361 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 4.48 | 3.96 | 0.00 | 3.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.283 | 10.143 | 1.053 | 0.000 | 0.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 198 | 170 | 316 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 1.01 | 1.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 1.185 | 2.431 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 133 | 83 | 111 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.73 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.334 | 0.447 | 1.846 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 60 | 52 | 0 | 305 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 1.02 | 0.00 | 5.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 0.057 | 0.469 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 185 | 141 | 278 | 0 | 632 | 0 | 0 | 0 |
N.S. |
1 | 1.32 | 1.01 | 1.99 | 0.00 | 4.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.974 | 2.364 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 260 | 205 | 405 | 0 | 808 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 0.97 | 1.91 | 0.00 | 3.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 2.572 | 3.893 | 0.000 | 0.160 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 73 | 88 | 85 | 74 | 559 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.17 | 1.13 | 0.99 | 7.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.266 | 0.185 | 0.362 | 0.221 | 0.422 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 28 | 27 | 49 | 0 | 3392 | 117 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 0.93 | 1.69 | 0.00 | 116.97 | 4.03 |
time (sec) |
N/A | 0.218 | 0.033 | 0.266 | 0.214 | 0.319 | 0.000 | 12.378 | 14.349 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 76 | 480 | 397 | 152 | 453 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 6.15 | 5.09 | 1.95 | 5.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.270 | 7.517 | 1.144 | 0.334 | 0.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 142 | 224 | 3219 | 0 | 625 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.67 | 24.02 | 0.00 | 4.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.339 | 7.367 | 3.545 | 0.000 | 0.597 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 273 | 184 | 415 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.484 | 1.606 | 3.981 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 197 | 139 | 286 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.69 | 1.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 0.874 | 2.530 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 178 | 133 | 145 | 0 | 777 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.71 | 0.77 | 0.00 | 4.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.370 | 0.539 | 2.066 | 0.000 | 0.139 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 90 | 103 | 0 | 938 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.02 | 0.00 | 9.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.430 | 0.132 | 1.061 | 0.000 | 0.158 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 254 | 167 | 360 | 0 | 1079 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.70 | 1.50 | 0.00 | 4.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.441 | 1.573 | 2.978 | 0.000 | 0.165 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 137 | 128 | 208 | 207 | 799 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.98 | 1.60 | 1.59 | 6.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.322 | 0.872 | 0.409 | 0.306 | 1.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 75 | 51 | 138 | 107 | 107 | 0 | 35378 | 183 |
N.S. |
1 | 1.03 | 0.70 | 1.89 | 1.47 | 1.47 | 0.00 | 484.63 | 2.51 |
time (sec) |
N/A | 0.264 | 0.121 | 0.346 | 0.239 | 0.458 | 0.000 | 104.200 | 21.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 63 | 47 | 56 | 55 | 104 | 0 | 35375 | 164 |
N.S. |
1 | 0.97 | 0.72 | 0.86 | 0.85 | 1.60 | 0.00 | 544.23 | 2.52 |
time (sec) |
N/A | 0.236 | 0.051 | 0.272 | 0.241 | 0.413 | 0.000 | 63.997 | 19.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 134 | 1291 | 899 | 272 | 775 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 10.25 | 7.13 | 2.16 | 6.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 9.569 | 1.630 | 0.467 | 0.594 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 281 | 194 | 712 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.80 | 2.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 2.847 | 4.943 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 271 | 171 | 485 | 0 | 1343 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 0.77 | 2.17 | 0.00 | 6.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 1.807 | 2.794 | 0.000 | 0.225 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 254 | 175 | 549 | 0 | 1394 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.81 | 2.53 | 0.00 | 6.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 1.794 | 3.102 | 0.000 | 0.195 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 228 | 172 | 547 | 0 | 1531 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.77 | 2.45 | 0.00 | 6.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.182 | 1.282 | 1.620 | 0.000 | 0.201 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 351 | 245 | 1082 | 0 | 1746 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 0.85 | 3.76 | 0.00 | 6.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.554 | 4.012 | 4.787 | 0.000 | 0.239 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 228 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 1.432 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 214 | 211 | 191 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.379 | 0.440 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 124 | 117 | 120 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.286 | 0.208 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 0 | 0 | 0 | 0 | 0 | 64 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.224 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 15.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 199 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.264 | 0.853 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 195 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.752 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.229 | 0.556 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 208 | 203 | 264 | 210 | 3216 | 0 | 221 | 229 |
N.S. |
1 | 0.95 | 0.93 | 1.21 | 0.96 | 14.68 | 0.00 | 1.01 | 1.05 |
time (sec) |
N/A | 0.466 | 0.261 | 1.069 | 0.314 | 1.020 | 0.000 | 0.389 | 14.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 155 | 139 | 106 | 159 | 1049 | 0 | 156 | 153 |
N.S. |
1 | 0.93 | 0.83 | 0.63 | 0.95 | 6.28 | 0.00 | 0.93 | 0.92 |
time (sec) |
N/A | 0.436 | 0.162 | 0.545 | 0.339 | 0.975 | 0.000 | 0.368 | 13.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 135 | 116 | 48 | 121 | 401 | 184 | 137 | 123 |
N.S. |
1 | 0.94 | 0.81 | 0.33 | 0.84 | 2.78 | 1.28 | 0.95 | 0.85 |
time (sec) |
N/A | 0.340 | 0.059 | 0.421 | 0.303 | 0.350 | 2.619 | 0.338 | 14.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 290 | 276 | 268 | 300 | 288 | 4396 | 0 | 309 | 600 |
N.S. |
1 | 0.95 | 0.92 | 1.03 | 0.99 | 15.16 | 0.00 | 1.07 | 2.07 |
time (sec) |
N/A | 0.576 | 0.234 | 0.901 | 0.311 | 1.224 | 0.000 | 0.387 | 0.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 385 | 365 | 362 | 372 | 470 | 10135 | 0 | 510 | 898 |
N.S. |
1 | 0.95 | 0.94 | 0.97 | 1.22 | 26.32 | 0.00 | 1.32 | 2.33 |
time (sec) |
N/A | 0.725 | 2.263 | 1.889 | 0.297 | 2.131 | 0.000 | 0.370 | 14.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 764 | 767 | 300 | 121 | 0 | 23437 | 0 | 0 | 2338 |
N.S. |
1 | 1.00 | 0.39 | 0.16 | 0.00 | 30.68 | 0.00 | 0.00 | 3.06 |
time (sec) |
N/A | 1.791 | 0.537 | 1.741 | 0.000 | 3.707 | 0.000 | 0.000 | 17.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 484 | 484 | 231 | 83 | 0 | 8236 | 0 | 0 | 951 |
N.S. |
1 | 1.00 | 0.48 | 0.17 | 0.00 | 17.02 | 0.00 | 0.00 | 1.96 |
time (sec) |
N/A | 1.006 | 0.355 | 0.892 | 0.000 | 1.632 | 0.000 | 0.000 | 15.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F(-1) | C | F | C | F | F | B |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 0 | 83 | 0 | 25429 | 0 | 0 | 609 |
N.S. |
1 | 1.00 | 0.00 | 0.34 | 0.00 | 103.79 | 0.00 | 0.00 | 2.49 |
time (sec) |
N/A | 0.523 | 0.000 | 0.459 | 0.000 | 1.245 | 0.000 | 0.000 | 14.887 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | C | F | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 0 | 432 | 162 | 0 | 59362 | 0 | 0 | 19737 |
N.S. |
1 | 0.00 | 1.44 | 0.54 | 0.00 | 198.54 | 0.00 | 0.00 | 66.01 |
time (sec) |
N/A | 0.000 | 0.519 | 2.230 | 0.000 | 3.891 | 0.000 | 0.000 | 17.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F(-2) | C | F | F | B |
verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 1093 | 0 | 679 | 291 | 0 | 85064 | 0 | 0 | 323390 |
N.S. |
1 | 0.00 | 0.62 | 0.27 | 0.00 | 77.83 | 0.00 | 0.00 | 295.87 |
time (sec) |
N/A | 0.000 | 2.064 | 4.090 | 0.000 | 12.200 | 0.000 | 0.000 | 24.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 288 | 284 | 439 | 311 | 263 | 3624 | 0 | 0 | 384 |
N.S. |
1 | 0.99 | 1.52 | 1.08 | 0.91 | 12.58 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.552 | 3.127 | 2.441 | 0.333 | 1.554 | 0.000 | 0.000 | 0.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 239 | 258 | 284 | 213 | 2255 | 0 | 0 | 203 |
N.S. |
1 | 1.00 | 1.08 | 1.19 | 0.89 | 9.47 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.499 | 0.963 | 1.060 | 0.303 | 1.211 | 0.000 | 0.000 | 13.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 177 | 184 | 153 | 163 | 665 | 0 | 0 | 172 |
N.S. |
1 | 0.97 | 1.01 | 0.84 | 0.89 | 3.63 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.412 | 0.735 | 1.016 | 0.323 | 0.359 | 0.000 | 0.000 | 0.368 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 170 | 152 | 134 | 155 | 655 | 617 | 0 | 165 |
N.S. |
1 | 0.97 | 0.86 | 0.76 | 0.88 | 3.72 | 3.51 | 0.00 | 0.94 |
time (sec) |
N/A | 0.358 | 0.482 | 0.904 | 0.306 | 0.357 | 92.897 | 0.000 | 14.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 587 | 561 | 564 | 389 | 483 | 10855 | 0 | 0 | 980 |
N.S. |
1 | 0.96 | 0.96 | 0.66 | 0.82 | 18.49 | 0.00 | 0.00 | 1.67 |
time (sec) |
N/A | 0.907 | 4.380 | 2.214 | 0.315 | 2.597 | 0.000 | 0.000 | 14.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 747 | 715 | 724 | 483 | 788 | 15989 | 0 | 0 | 1605 |
N.S. |
1 | 0.96 | 0.97 | 0.65 | 1.05 | 21.40 | 0.00 | 0.00 | 2.15 |
time (sec) |
N/A | 1.196 | 6.433 | 4.779 | 0.336 | 7.045 | 0.000 | 0.000 | 14.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | C | N/A | F(-2) | C | N/A | N/A | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 394 | 241 | 0 | 9984 | 22 | 3 | 2431 |
N.S. |
1 | 1.00 | 17.13 | 10.48 | 0.00 | 434.09 | 0.96 | 0.13 | 105.70 |
time (sec) |
N/A | 0.222 | 0.895 | 1.744 | 0.000 | 9.399 | 148.602 | 6.109 | 15.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | C | N/A | F(-2) | C | N/A | N/A | B |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 273 | 175 | 0 | 36403 | 22 | 3 | 1648 |
N.S. |
1 | 1.00 | 11.87 | 7.61 | 0.00 | 1582.74 | 0.96 | 0.13 | 71.65 |
time (sec) |
N/A | 0.225 | 0.765 | 2.080 | 0.000 | 3.241 | 125.450 | 4.408 | 15.244 |